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Simplifying 12y + -5 = 47 + -1y Reorder the terms: -5 + 12y = 47 + -1y Solving -5 + 12y = 47 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. -5 + 12y + y = 47 + -1y + y Combine like terms: 12y + y = 13y -5 + 13y = 47 + -1y + y Combine like terms: -1y + y = 0 -5 + 13y = 47 + 0 -5 + 13y = 47 Add '5' to each side of the equation. -5 + 5 + 13y = 47 + 5 Combine like terms: -5 + 5 = 0 0 + 13y = 47 + 5 13y = 47 + 5 Combine like terms: 47 + 5 = 52 13y = 52 Divide each side by '13'. y = 4 Simplifying y = 4
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